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Bulletin: Classe Des Sciences Mathematiques Et Natturalles最新文献

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Convoluted c-cosine functions and convoluted C-semigroups 卷积c余弦函数和卷积c半群
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/BMAT0328075K
M. Kostic
{"title":"Convoluted c-cosine functions and convoluted C-semigroups","authors":"M. Kostic","doi":"10.2298/BMAT0328075K","DOIUrl":"https://doi.org/10.2298/BMAT0328075K","url":null,"abstract":"Convoluted C-cosine functions and convoluted C-semigroups are introduced and investigated. Then their relations to the well-posedness of second order abstract Cauchy problem and the Θ-convoluted C-regularized Cauchy problem are studied. Generation results for convoluted C-semigroups are given.","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123931820","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 16
Self-adjoint differential equations and generalized Karamata functions 自伴随微分方程与广义卡拉玛塔函数
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/BMAT0429025J
J. Jaros, T. Kusano
{"title":"Self-adjoint differential equations and generalized Karamata functions","authors":"J. Jaros, T. Kusano","doi":"10.2298/BMAT0429025J","DOIUrl":"https://doi.org/10.2298/BMAT0429025J","url":null,"abstract":"Howard and Maric have recently developed nice nonoscillation theorems for the differential equation U\" + q(t)y = 0 (*) by means of regularly varying functions in the sense of Karamata. The purpose of this paper is to show that their results can be fully generalized to differential equations of the form, (p(t)y′)′ + q(t)y = o (**) by using the notion of generalized Karamata functions, which is needed to comprehend how delicately the asymptotic behavior of solutions of (**) is affected by the function p(t).","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"107 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127667771","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 33
On hypoellipticity in ς 论ς的半椭圆性
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/BMAT0227047N
M. Nedeljkov, S. Pilipovic
{"title":"On hypoellipticity in ς","authors":"M. Nedeljkov, S. Pilipovic","doi":"10.2298/BMAT0227047N","DOIUrl":"https://doi.org/10.2298/BMAT0227047N","url":null,"abstract":"We give a condition of sufficiency for the hypoellipticity of a family of equations with constant coefficients satisfied prescribed power growth rate with respect to e Є (0, 1). The framework is Colombeau algebra of generalized functions.","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"70 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122412520","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Solution of mathematical models by localization 用局部化法求解数学模型
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/BMAT0227001S
B. Stankovic
{"title":"Solution of mathematical models by localization","authors":"B. Stankovic","doi":"10.2298/BMAT0227001S","DOIUrl":"https://doi.org/10.2298/BMAT0227001S","url":null,"abstract":"A definition of the Laplace transform of elements of D'·(Р) of a subspace of distributions is given which can successfully be ap­plied to solve in a prescribed domain linear equations with derivatives, par­tial derivatives fractional derivatives and convolutions, all with initial or boundary conditions, regardless of the existence of classical or generalized solutions.","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"87 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123065336","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Universal minimal flows of automorphism groups 自同构群的泛极小流
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/BMAT0328093K
A. Kechris, V. Pestov, S. Todorcevic
{"title":"Universal minimal flows of automorphism groups","authors":"A. Kechris, V. Pestov, S. Todorcevic","doi":"10.2298/BMAT0328093K","DOIUrl":"https://doi.org/10.2298/BMAT0328093K","url":null,"abstract":"A b s t r a c t. We investigate some connections between the Fra¨isse theory of amalgamation classes and ultrahomogeneous structures, Ramsey theory, and topological dynamics of automorphism groups of countable struc- tures. We show, in particular, that results from the structural Ramsey theory can be quite useful in recognizing the universal minimal flows of this kind of groups. As result we compute universal minimal flows of several well known topological groups such as, for example, the automorphism group of the ran- dom graph, the automorphism group of the random triangle-free graph, the automorphism group of the 1-dimensional vector space over a finite field, the automorphism group of the countable atomless Boolean algebra,etc. So we have here a reversal in the traditional relationship between topological dy- namics and Ramsey theory, the Ramsey-theoretic results are used in proving theorems of topological dynamics rather than vice versa.","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"403 8","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120891502","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Generalized solutions to singular initial-boundary hyperbolic problems with non-Lipshitz nonlinearities 非lipshitz非线性奇异初边双曲型问题的广义解
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/BMAT0631087K
I. Kmit
{"title":"Generalized solutions to singular initial-boundary hyperbolic problems with non-Lipshitz nonlinearities","authors":"I. Kmit","doi":"10.2298/BMAT0631087K","DOIUrl":"https://doi.org/10.2298/BMAT0631087K","url":null,"abstract":"We prove the existence and uniqueness of global generalized solutions in a Colombeau algebra of generalized functions to semilinear hyperbolic systems with nonlinear boundary conditions. Our analysis covers the case of non-Lipschitz nonlinearities both in the differential equations and in the boundary conditions. We admit strong singularities in the differential equations as well as in the initial and boundary conditions. AMS Mathematics Subject Classification (2000): 35L50, 35L67, 35D05.","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116003699","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
An extension on trilinear Hilbert transform. 三线性希尔伯特变换的推广。
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/BMAT0227069B
Aneta Buckovska
{"title":"An extension on trilinear Hilbert transform.","authors":"Aneta Buckovska","doi":"10.2298/BMAT0227069B","DOIUrl":"https://doi.org/10.2298/BMAT0227069B","url":null,"abstract":"The Trilinear Hilbert transform H: Lp x Lq x A -> Lr is extended to DLp x DLq x DA -> DLr -> as a continuous mapping.","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"115 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116593983","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Graph connectivity and Wiener index 图连通性和Wiener索引
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/BMAT0631001G
I. Gutman, S. Zhang
{"title":"Graph connectivity and Wiener index","authors":"I. Gutman, S. Zhang","doi":"10.2298/BMAT0631001G","DOIUrl":"https://doi.org/10.2298/BMAT0631001G","url":null,"abstract":"The graphs with a given number n of vertices and given (vertex or edge) connectivity k, having minimum Wiener index are determined. In both cases this is Kk + (K1 U Kn-k-1), the graph obtained by connecting all vertices of the complete graph Kk with all vertices of the graph whose two components are Kn-k-1 and K1. AMS Mathematics Subject Classification (2000): 05C12, 05C40 05C35.","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"275 4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123274074","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 18
Laplace transform of distribution-valued functions and its applications 分布值函数的拉普拉斯变换及其应用
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/BMAT0429061S
B. Stankovic
{"title":"Laplace transform of distribution-valued functions and its applications","authors":"B. Stankovic","doi":"10.2298/BMAT0429061S","DOIUrl":"https://doi.org/10.2298/BMAT0429061S","url":null,"abstract":"For the distribution-valued functions the Laplace transform, is defined and some properties of it are proved. In order to illustrate the elaborated results, the conditions are proved to have the unicity and existence of solutions to a mathematical model of the vibrating rod with boundary conditions. .","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"28 5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126139143","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On the spectral radius of bicyclic graphs 关于双环图的谱半径
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/BMAT0530093P
M. Petrovic, I. Gutman, Shu-Guang Guo
{"title":"On the spectral radius of bicyclic graphs","authors":"M. Petrovic, I. Gutman, Shu-Guang Guo","doi":"10.2298/BMAT0530093P","DOIUrl":"https://doi.org/10.2298/BMAT0530093P","url":null,"abstract":"Let K3 and K'3 be two complete graphs of order 3 with disjoint vertex sets Let \u0001 be the 5-vertex graph, obtained by identifying a vertex of K3 with a vertex of K'3. Let \u0001 be the 4-vertex graph, obtained by identifying two vertices of K3 each with a vertex of K'3. Let \u0001 be graph of order n, obtained by attaching k paths of almost equal length to the vertex of degree 4 of \u0001. Let \u0001 be the graph of order n obtained by attaching k paths of almost equal length to a vertex of degree 3 of \u0001. Let \u0001 be the set of all connected bicyclic graphs of order n, possessing k pendent vertices. One of the authors recently proved that among the elements of \u0001, either \u0001 or \u0001 have the greatest spectral radius. We now show that for k ≥ 1 and n ≥ k + 5, among the elements of \u0001, the graph \u0001 has the greatest spectral radius.","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129683607","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 20
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